Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;


public class Main {
	public static void main(String[] argv)
	{
		Main m = new Main();
		m.solve();
		
	}

	public void solve () {
	
	
		InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);

//        
//        System.out.println(Math.sqrt(2.0 / 3  / Math.sqrt(2 * 2 + 0.5 * 0.5 - 1.0 / 4)));
//        double x = Math.sqrt(4.0 / 3  / Math.sqrt(2 * 2 + 0.5 * 0.5 - 1.0 / 4));
//        System.out.println(Math.sqrt(2 * 2 + 0.5 * 0.5 - 1.0 / 4) * x);
//        double a = ((double)(1000000000001111)) + 0.0;
        
        int n = in.nextInt();
        double h = in.nextInt();
        for (int i = 1; i <= n - 1; i++) {
        	double  area = (1.0 * h / 2 / n) * i;
        	
        	double c = h * h + 0.5 * 0.5 - 1.0/4;
        	c = Math.sqrt(c);
        	double x1 = Math.sqrt(2 * area / c);
        	System.out.print((c * x1) + " ");
        }
        System.out.println();



		
 	}

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }
        
        public long nextLong() {
        	return Long.parseLong(next());
        }

    }
}